{"product_id":"the-mittag-leffler-and-gamma-function-piet-van-mieghem-9780198993377","title":"The Mittag-Leffler and Gamma Function","description":"The Mittag-Leffler function is a basic function in fractional calculus and is an entire function in the complex plane. Entire functions are generalization of polynomials to infinite degree, do not have singularities in the complex plane, and possess a wealth of beautiful properties. Entire functions are defined by a Taylor series that converges for any finite complex number. In addition to the summation formulation and as a consequence of Weierstrass's factorization theorem, entire functions possess a product form in which all zeros appear. \u003cp\u003e\u003c\/p\u003eThe study of properties of entire functions has led Mittag-Leffler, around 1900, to the study of his function. The Mittag-Leffler function is a primary example of an entire function, tunable in its order, and is represented by the simple eyeing Taylor series, in which another basic complex function, the Gamma function pops up. \u003cp\u003e\u003c\/p\u003e\u003cem\u003eThe Mittag-Leffler and Gamma Function\u003c\/em\u003e mainly targets the mathematical properties of the Mittag-Leffler function in easy-to-understand language, not its applications to fractional analysis nor its numerical evaluation. Since the Gamma function plays a crucial role in the properties of the Mittag-Leffler function, a comprehensive treatment of the Mittag-Leffler function requires the knowledge of the Gamma function. The second part of the book attempts to present a complete study, enriched with historical references.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Piet Van Mieghem\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0198993374\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780198993377\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Oxford University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/05\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 352\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover","brand":"Piet Van Mieghem","offers":[{"title":"Hardcover","offer_id":49097227436287,"sku":"9780198993377","price":120.0,"currency_code":"USD","in_stock":false}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/the-mittag-leffler-and-gamma-function-piet-van-mieghem-9780198993377","provider":"WR Book House","version":"1.0","type":"link"}